An electrical cable connector includes a housing, a holder movable to bring and hold the cable in engagement with the housing, and an operator for moving the holder, through screw action, to hold the cable in engagement with the housing. The holder has opposed left and right limbs extending upwards. Two electrical conductors within the housing have sharp lower ends for piercing the cable to contact a respective core of the cable when the cable is brought into engagement with the housing, and upper ends for connection with a second electrical cable. The upper end of each of the conductors includes a self-gripping device which grips the end of a core of the second cable automatically, upon approach of the end of the core, electrically and mechanically connecting the end of the core to the upper end of the conductor.